1) comute the proportion of free throws each player normally makes 2.) compute t
ID: 2747040 • Letter: 1
Question
1) comute the proportion of free throws each player normally makes
2.) compute the UCL and LCL using limits: 90%, 95%, 99.73%
3.) Predict the number of free throws a player may make given 10,15,20 attempts.
4. Be able to explain findings
James Curry Lenard Game number Makes Attempts Makes attempts Makes attempts 1 4 8 6 8 2 2 2 7 9 4 4 5 6 3 7 10 2 2 7 8 4 10 12 7 8 8 10 5 14 18 4 4 3 4 6 6 10 9 12 3 3 7 3 4 2 3 3 4 8 8 10 7 9 3 6 9 8 11 5 7 2 2 10 7 8 13 14 5 5 11 9 12 11 12 2 2 12 10 11 5 7 3 4 13 7 9 12 13 3 4 14 5 7 3 3 5 6 15 6 10 1 1 2 2 16 7 8 5 7 3 4 17 3 4 11 12 5 6 18 2 2 9 10 3 4 19 3 4 8 8 3 4 20 5 6 10 11 5 5 21 9 10 12 10 9 9 22 1 2 7 7 6 8 Totalts 141 185 153 172 90 180Explanation / Answer
Answer: James Curry Lenard Game number Makes Attempts Makes attempts Makes attempts 1 4 8 6 8 2 2 2 7 9 4 4 5 6 3 7 10 2 2 7 8 4 10 12 7 8 8 10 5 14 18 4 4 3 4 6 6 10 9 12 3 3 7 3 4 2 3 3 4 8 8 10 7 9 3 6 9 8 11 5 7 2 2 10 7 8 13 14 5 5 11 9 12 11 12 2 2 12 10 11 5 7 3 4 13 7 9 12 13 3 4 14 5 7 3 3 5 6 15 6 10 1 1 2 2 16 7 8 5 7 3 4 17 3 4 11 12 5 6 18 2 2 9 10 3 4 19 3 4 8 8 3 4 20 5 6 10 11 5 5 21 9 10 12 10 9 9 22 1 2 7 7 6 8 Total 141 185 153 172 90 108 Mean 12.26087 13.30435 7.826086957 Standard deviation 3.065306 3.578737 1.997834325 at 90% confidence level: z = 1.281552 UCL = mean + z x stdev = 16.18922 LCL = mean - z x stdev = 8.332521 at 95% confidence level: z = 1.644854 UCL = mean + z x stdev = 19.19085 LCL = mean - z x stdev = 7.417849 at 99.73% confidence level: z = 2.78215 UCL = mean + z x stdev = 13.38436 LCL = mean - z x stdev = 2.267811 Similarly for others UCL and LCL can be found.
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